# The invisibility via anomalous localized resonance of a source for electromagnetic waves

## TL;DR

This paper investigates how anomalous localized resonance can render electromagnetic sources invisible within doubly complementary media, identifying conditions under which cloaking occurs and revealing a critical length for invisibility.

## Contribution

It demonstrates cloaking via anomalous localized resonance in electromagnetic media and identifies a critical length condition for source invisibility in plasmonic structures.

## Key findings

- Cloaking is achieved when the power blows up.
- A critical length for source invisibility is identified.
- Invisibility occurs when the plasmonic structure is complementary to an annulus.

## Abstract

We study the invisibility via anomalous localized resonance of a general source for electromagnetic waves in the setting of doubly complementary media. As a result, we show that cloaking is achieved if the power is blown up. We also reveal a critical length for the invisibility of a source that occurs when the plasmonic structure is complementary to an annulus of constant, isotropic medium.